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ORDER OUT OF CHAOS<br />

120<br />

creases to a maximum goes far beyond the technological problem<br />

that gave rise to thermodynamics. Increasing entropy is<br />

no longer synonymous with loss but now refers to the natural<br />

processes within the system. These are the processes that ultimately<br />

lead the system to thermodynamic "equilibrium"<br />

corresponding to the state of maximum entropy.<br />

In Chapter I we emphasized the element of surprise involved<br />

in the discovery of Newton's universal laws of dynamics.<br />

Here also the element of surprise is apparent. When Sadi<br />

Carnot formulated the laws of ideal thermal engines, he was<br />

far from imagining that his work would lead to a conceptual<br />

revolution in physics.<br />

Reversible transformations belong to classical science in the<br />

sense that they define the possibility of acting on a system, of<br />

controlling it. The dynamic object could be controlled through<br />

its initial conditions. Similarly, when defined in terms of its<br />

reversible transformations, the thermodynamic object may be<br />

controlled through its boundary conditions: any system in<br />

thermodynamic equilibrium whose temperature, volume, or<br />

pressure are gradually changed passes through a series of<br />

equilibrium states, and any reversal of the manipulation leads<br />

to a return to its initial state. The reversible nature of such<br />

change and controlling the object through its boundary conditions<br />

are interdependent processes. In this context irreversibility<br />

is "negative"; it appears in the form of "uncontrolled"<br />

changes that occur as soon as the system eludes control. But<br />

inversely, irreversible processes may be considered as the last<br />

remnants of the spontaneous and intrinsic activity displayed<br />

by nature when experimental devices are employed to harness<br />

it.<br />

Thus the "negative" property of dissipation shows that, unlike<br />

dynamic objects, thermodynamic objects can only be partially<br />

controlled. Occasionally they "break loose" into<br />

spontaneous change.<br />

All changes are not equivalent for a thermodynamic system.<br />

This is the meaning of the expression dS =deS+ diS.<br />

Spontaneous change toward equilibrium diS is different from<br />

the change deS, which is determined and controlled by a modification<br />

of the boundary conditions (for example, ambient<br />

temperature). For an isolated system, equilibrium appears as

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